anonymous one year ago Solve the equation.

1. anonymous

$3x ^{1/2} + 5x ^{1/4} - 2 = 0$

2. anonymous

Well first get 2 to the other side of the equation. You will have 3x^1/2 + 5x^1/4 = 2

3. anonymous

Alright, next?

4. anonymous

then imagine that x^(1/4)=m so we can write that equation with m. 3m^2+5m-2=0

5. anonymous

okay

6. anonymous

now we use quadratic formula. $\Delta =25-4*-2*3=25+24=49$$m_{1}=\frac{ -5+7 }{ 6 }=\frac{ 1 }{ 3 }$$m_{2}=\frac{ -5-7 }{ 6 }=-2$

7. anonymous

Okay, I understand so far. What's next?

8. anonymous

@amirreza1870